Steen S.W.P. Mathematical Logic with Special Reference to the Natural Numbers

формат pdf
размер 24.12 МБ
добавлен 16 августа 2011 г.

Cambridge University Press, 1972. - 654 pages.

This book presents a comprehensive treatment of basic mathematical logic. The author's aim is to make exact the vague, intuitive notions of natural number, preciseness, and correctness, and to invent a method whereby these notions can be communicated to others and stored in the memory. He adopts a symbolic language in which ideas about natural numbers can be stated precisely and meaningfully, and then investigates the properties and limitations of this language. The treatment of mathematical concepts in the main body of the text is rigorous, but, a section of 'historical remarks' traces the evolution of the ideas presented in each chapter. Sources of the original accounts of these developments are listed in the bibliography.

Похожие разделы

Смотрите также

Bilanuik S. A Problem Course in Mathematical Logic

формат pdf
размер 676.29 КБ
добавлен 01 ноября 2011 г.

Department of Mathematics Trent University, 1991, -186 pp. This is a text for a problem-oriented undergraduate course in mathematical logic. It covers the basics of propositional and first-order logic through the Soundness, Completeness, and Compactness Theorems. Volume II, Computation, covers the basics of computability using Turing machines and recursive functions, the Incompleteness Theorems, and complexity theory through the P and NP. It co...

Crossley J.N. What is Mathematical Logic?

формат djvu
размер 882.84 КБ
добавлен 22 декабря 2011 г.

C. J. Ash (Author), J. N. Crossley (Author), C. J. Brickhill (Author), J. C. Stillwell (Author), N. H. Williams (Author) This introduction to the main ideas and results of mathematical logic is a serious treatment geared toward non-logicians. Starting with a historical survey of logic in ancient times, it traces the 17th-century development of calculus and discusses modern theories, including set theory, the continuum hypothesis, and other ideas.

Detlefsen M., McCarty D.C., Bacon J.B. Logic from A to Z

формат pdf
размер 1.1 МБ
добавлен 30 ноября 2011 г.

Routledge, 1999. - 128 pages. First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of. * Logic: Argument, Turing Machine, Variable. * Set and model theory: Isomorphism, Function. * Computability theory: Algor...

Ebbinghaus H.-D., Flum J., Thomas W. Mathematical Logic

формат djvu
размер 1.99 МБ
добавлен 01 ноября 2011 г.

Издательство Springer, 1984, -113 pp. Some of the central questions of mathematical logic are: What is a mathematical proof? How can proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs? Only in this century has there been success in obtaining substantial and satisfactory answers, the most pleasing of which is given by G?del's completeness theorem: It is possible to exhibit (in the...

Hinman P.G. Fundamentals of Mathematical Logic

формат djvu
размер 6.61 МБ
добавлен 11 октября 2011 г.

AK Pеters, 2005. - 896 pages. This introductory graduate text covers modern mathematical logic from propositional, first-order, higher-order and infinitary logic and G?del’s Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author’s more than 35 years of teaching experience, the book develops students’ intuition by presenting complex ideas in the simplest context f...

Kneebone G.T. Mathematical Logic and the Foundations of Mathematics. An Introductory Survey

формат djvu
размер 4.75 МБ
добавлен 01 ноября 2011 г.

Издательство Van Nostrand, 1963, -224 pp. This introduction to mathematical logic and the philosophy of mathematics is based on courses of lectures given in the University of London, and attended both by undergraduates in the final year of an honours course in mathematics and by graduates beginning research for higher degrees. Planned with a variety of needs in mind, it is addressed both to readers who require only a general survey of the topics...

Mendelson E. Introduction to Mathematical Logic

формат pdf
размер 10.39 МБ
добавлен 25 июня 2011 г.

Chapman & Hall/CRC, 1997. - 456 pages. The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and a...

Rautenberg W. A Concise Introduction to Mathematical Logic

формат pdf
размер 2.44 МБ
добавлен 11 декабря 2010 г.

Springer, 2006. - 260 pages. Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguisti...

Shoenfield J.R. Mathematical Logic

формат djvu
размер 4.59 МБ
добавлен 25 августа 2011 г.

AK Pеters/CRС Prеss, 2001. - 356 pages. This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible f...

Smullyan R.M. Logical Labyrinths

формат pdf
размер 3.64 МБ
добавлен 18 октября 2011 г.

AK Peters, 2009. - 275 pages. This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the author introduces the readers to informal reasoning preparing them for...